Test Configurations, Stabilities and Canonical Kahler Metrics : Complex Geometry by the Energy Method
1st ed. 2021
Book Details
Format
Paperback / Softback
Book Series
SpringerBriefs in Mathematics
ISBN-10
9811604991
ISBN-13
9789811604997
Edition
1st ed. 2021
Publisher
Springer Verlag, Singapore
Imprint
Springer Verlag, Singapore
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Mar 26th, 2021
Print length
128 Pages
Weight
238 grams
Dimensions
23.30 x 15.50 x 1.20 cms
Ksh 9,900.00
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The Yau-Tian-Donaldson conjecture for anti-canonical polarization was recently solved affirmatively by Chen-Donaldson-Sun and Tian. In this book, the unsolved cases of the conjecture will be discussed.It will be shown that the problem is closely related to the geometry of moduli spaces of test configurations for polarized algebraic manifolds.
The Yau-Tian-Donaldson conjecture for anti-canonical polarization was recently solved affirmatively by Chen-Donaldson-Sun and Tian. However, this conjecture is still open for general polarizations or more generally in extremal Kähler cases. In this book, the unsolved cases of the conjecture will be discussed.
It will be shown that the problem is closely related to the geometry of moduli spaces of test configurations for polarized algebraic manifolds.
Another important tool in our approach is the Chow norm introduced by Zhang. This is closely related to Ding''s functional, and plays a crucial role in our differential geometric study of stability. By discussing the Chow norm from various points of view, we shall make a systematic study of the existence problem of extremal Kähler metrics.Get Test Configurations, Stabilities and Canonical Kahler Metrics by at the best price and quality guaranteed only at Werezi Africa's largest book ecommerce store. The book was published by Springer Verlag, Singapore and it has pages.
